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Finding the Fourth Proportional to 6,804.70, 9,389.84 and 3,819.96

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Solution

The fourth proportional to 6,804.70, 9,389.84 and 3,819.96 is: 5,271.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,804.70 : 9,389.84 = 3,819.96 : x
  2. Step 2: Convert to fraction form
    6,804.70/9,389.84 = 3,819.96/x
  3. Step 3: Cross multiply
    6,804.70x = 9,389.84 × 3,819.96
  4. Step 4: Simplify right side
    6,804.70x = 35,868,794.11
  5. Step 5: Solve for x
    x = 35,868,794.11/6,804.70
  6. Step 6: Final answer
    x = 5,271.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.